Anomalous diffusion, solutions, and first passage time: Influence of diffusion coefficient

被引：38

作者：

Fa, KS ^{[1
]}

Lenzi, EK ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, Parana, Brazil

来源：

PHYSICAL REVIEW E | 2005年 / 71卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.71.012101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We investigate the solutions and the first passage time for anomalous diffusion processes governed by the usual diffusion equation. We consider a space- and time-dependent diffusion coefficient and the presence of absorbing boundaries. We obtain analytical results for the probability distribution and the first passage time distribution for finite and semi-infinite intervals. In addition, we compare our results for the first passage time distribution with the one obtained by the usual diffusion equation with constant diffusion coefficient.

引用

页数：4

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